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Weak amenability of Segal algebras
Author(s):
H.
G.
Dales;
S.
S.
Pandey
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1419-1425.
MSC (1991):
Primary 46J10
Posted:
October 6, 1999
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Abstract:
Let  be a locally compact abelian group, and let  . We show that the Segal algebra  is always weakly amenable, but that it is amenable only if  is discrete.
References:
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Additional Information:
H.
G.
Dales
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England
Email:
pmt6hgd@leeds.ac.uk
S.
S.
Pandey
Affiliation:
Department of Mathematics, R. D. University, Jabalpur, India
Email:
ssp@rdunijb.ren.nic.in
DOI:
10.1090/S0002-9939-99-05139-4
PII:
S 0002-9939(99)05139-4
Received by editor(s):
March 10, 1998
Received by editor(s) in revised form:
July 3, 1998
Posted:
October 6, 1999
Additional Notes:
The second author acknowledges with thanks the support of the Royal Society-INSA exchange program which enabled him to visit the University of Leeds to work with the first author. He is also thankful to the Department of Pure Mathematics at Leeds for hospitality.
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2000,
American Mathematical Society
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